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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 276 · 40 sums
TalentJR

The trick (Ekadhikena Purvena): 2, 5, 10: the last digit (even; 0 or 5; 0). 3 and 9: add the digits. 4: the last two digits. 8: the last three digits. 6: even and passes the rule for 3. 11: from the right, add the 1st, 3rd, 5th… digits and the 2nd, 4th… digits; the difference must be 0 or a multiple of 11. Any prime p: multiply p by 1, 3, 7 or 9 so it ends in 9; one more than the digits before the 9 is the osculator (7 → 5, 13 → 4, 17 → 12, 19 → 2, 23 → 7, 29 → 3). Take the last digit × the osculator and add it to the rest; repeat until the number is small and check the times table. Composite numbers: split into two factors that share no factor and pass BOTH rules — 6 = 2 × 3, 12 = 3 × 4, 15 = 3 × 5, 18 = 2 × 9, 20 = 4 × 5, 24 = 3 × 8, 30 = 3 × 10.

NameDateTime takenScore ___ / 40
  1. 1.Is 17016 divisible by 11?
  2. 2.Is 69751 divisible by 11?
  3. 3.Is 23840 divisible by 6?
  4. 4.Is 21580 divisible by 13?
  5. 5.Is 68184 divisible by 18?
  6. 6.Is 16903 divisible by 12?
  7. 7.Is 18390 divisible by 10?
  8. 8.Is 30060 divisible by 7?
  9. 9.Is 27702 divisible by 19?
  10. 10.Is 12552 divisible by 12?
  11. 11.Is 9150 divisible by 15?
  12. 12.Is 26605 divisible by 17?
  13. 13.Is 150482 divisible by 23?
  14. 14.Is 10849 divisible by 3?
  15. 15.Is 93922 divisible by 30?
  16. 16.Is 14741 divisible by 29?
  17. 17.Is 22585 divisible by 5?
  18. 18.Is 3661 divisible by 5?
  19. 19.Is 37696 divisible by 8?
  20. 20.Is 19308 divisible by 12?
  21. 21.Is 125350 divisible by 23?
  22. 22.Is 84225 divisible by 15?
  23. 23.Is 7251 divisible by 3?
  24. 24.Is 77808 divisible by 12?
  25. 25.Is 76920 divisible by 24?
  26. 26.Is 9456 divisible by 23?
  27. 27.Is 12772 divisible by 17?
  28. 28.Is 70334 divisible by 23?
  29. 29.Is 18281 divisible by 5?
  30. 30.Is 58392 divisible by 9?
  31. 31.Is 5767 divisible by 10?
  32. 32.Is 17491 divisible by 20?
  33. 33.Is 96441 divisible by 17?
  34. 34.Is 4185 divisible by 2?
  35. 35.Is 84255 divisible by 15?
  36. 36.Is 32031 divisible by 18?
  37. 37.Is 10070 divisible by 10?
  38. 38.Is 19277 divisible by 13?
  39. 39.Is 5750 divisible by 13?
  40. 40.Is 1385 divisible by 6?

Answer key

  1. no
  2. yes
  3. no
  4. yes
  5. yes
  6. no
  7. yes
  8. no
  9. yes
  10. yes
  11. yes
  12. yes
  13. no
  14. no
  15. no
  16. no
  17. yes
  18. no
  19. yes
  20. yes
  21. yes
  22. yes
  23. yes
  24. yes
  25. yes
  26. no
  27. no
  28. yes
  29. no
  30. yes
  31. no
  32. no
  33. yes
  34. no
  35. yes
  36. no
  37. yes
  38. no
  39. no
  40. no

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